The temperature (
T) dependence of the axion mass is predicted for
s up to
the chiral restoration temperature of QCD. The axion is related to the
anomaly. The squared axion mass
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The temperature (
T) dependence of the axion mass is predicted for
s up to
the chiral restoration temperature of QCD. The axion is related to the
anomaly. The squared axion mass
is, modulo the presently undetermined scale of spontaneous breaking of Peccei–Quinn symmetry
(squared), equal to QCD topological susceptibility
for all
T. We obtain
by using quark condensates calculated in two effective Dyson–Schwinger models of nonperturbative QCD. They exhibit the correct chiral behavior, including the dynamical breaking of chiral symmetry and its restoration at high
T. This is reflected in the
symmetry breaking and restoration through
. In our previous studies, such
yields the
T-dependence of the
-anomaly-influenced masses of
and
mesons consistent with experiment. This in turn supports our prediction for the
T-dependence of the axion mass. Another support is a rather good agreement with the pertinent lattice results. This agreement is not spoiled by our varying
u and
d quark mass parameters out of the isospin limit.
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